16520904000 has 336 divisors, whose sum is σ = 59387262480. Its totient is φ = 4384051200.

The previous prime is 16520903983. The next prime is 16520904013. The reversal of 16520904000 is 40902561.

16520904000 is a `hidden beast` number, since 1 + 652 + 0 + 9 + 0 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13638502656 + 2882401344 = 116784^2 + 53688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19367574 + ... + 19368426.

It is an arithmetic number, because the mean of its divisors is an integer number (176747805).

Almost surely, 2^16520904000 is an apocalyptic number.

16520904000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16520904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693631240).

16520904000 is an abundant number, since it is smaller than the sum of its proper divisors (42866358480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16520904000 is a wasteful number, since it uses less digits than its factorization.

16520904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 16520904000 in words is "sixteen billion, five hundred twenty million, nine hundred four thousand".